Convergence analysis for numerical solution of Fredholm integral equation by Sinc approximation

2011 ◽  
Vol 16 (6) ◽  
pp. 2478-2485 ◽  
Author(s):  
K. Maleknejad ◽  
R. Mollapourasl ◽  
M. Alizadeh
Keyword(s):  
Integral Equation ◽  
Numerical Solution ◽  
Convergence Analysis ◽  
Fredholm Integral Equation ◽  
Sinc Approximation

Numerical solution of two-dimensional first kind Fredholm integral equations by using linear Legendre wavelet

2016 ◽  
Vol 14 (01) ◽  
pp. 1650004 ◽  
Author(s):  
M. Tahami ◽  
A. Askari Hemmat ◽  
S. A. Yousefi
Keyword(s):  
Integral Equation ◽  
Tensor Product ◽  
Numerical Solution ◽  
Fredholm Integral Equation ◽  
Fredholm Integral Equations ◽  
Wavelet Basis ◽  
Two Dimensional ◽  
Legendre Wavelets ◽  
Numerical Examples ◽  
One Dimensional

In one-dimensional problems, the Legendre wavelets are good candidates for approximation. In this paper, we present a numerical method for solving two-dimensional first kind Fredholm integral equation. The method is based upon two-dimensional linear Legendre wavelet basis approximation. By applying tensor product of one-dimensional linear Legendre wavelet we construct a two-dimensional wavelet. Finally, we give some numerical examples.

scholarly journals Chebyshev collocation treatment of Volterra–Fredholm integral equation with error analysis

2019 ◽  
Vol 9 (2) ◽  
pp. 471-480 ◽  
Author(s):  
Y. H. Youssri ◽  
R. M. Hafez
Keyword(s):  
Integral Equation ◽  
Error Analysis ◽  
Numerical Solution ◽  
Fredholm Integral Equation ◽  
Chebyshev Polynomials ◽  
Matrix Equation ◽  
Chebyshev Collocation ◽  
Chebyshev Nodes ◽  
Potential Applicability ◽  
The Given

Abstract This work reports a collocation algorithm for the numerical solution of a Volterra–Fredholm integral equation (V-FIE), using shifted Chebyshev collocation (SCC) method. Some properties of the shifted Chebyshev polynomials are presented. These properties together with the shifted Gauss–Chebyshev nodes were then used to reduce the Volterra–Fredholm integral equation to the solution of a matrix equation. Nextly, the error analysis of the proposed method is presented. We compared the results of this algorithm with others and showed the accuracy and potential applicability of the given method.

On Numerical Solution Approach for the Volterra-Fredholm Integral Equation

2015 ◽  
Vol 12 (12) ◽  
pp. 5968-5975
Author(s):  
M. A. H Ismail ◽  
A. K Khamis ◽  
M. A Abdou ◽  
A. R Jaan
Keyword(s):  
Integral Equation ◽  
Numerical Solution ◽  
Fredholm Integral Equation ◽  
Solution Approach
Sign in / Sign up

Export Citation Format

Share Document